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3 years ago

Factorise completely a). 3xy - 9x b). x² - 4 c). 2x² + 5y + 1

Mathematics

1 answer:

Keith_Richards [23]3 years ago

8 0

Answer:

a) 3x(y-3)

b) (x-2)(X+2)

Step-by-step explanation:

See the steps below:) You can also use the app photo math, you take a picture and it will give you the answer and explain the steps:)

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In a survey taken of 575 justice page middle school students, 31% say mathematics is their favorite subject .how many justice pa

Serggg [28]

Hey You!

31% = 0.31 = 0.31 × 575 = 178.25

178 students like mathematics.

5 0

4 years ago

A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit surv

lys-0071 [83]

Answer:

Population mean = 7 ± 2.306 × $\frac{2.29}{\sqrt{9} }$

Step-by-step explanation:

Given - A university researcher wants to estimate the mean number

of novels that seniors read during their time in college. An exit

survey was conducted with a random sample of 9 seniors. The

sample mean was 7 novels with standard deviation 2.29 novels.

To find - Assuming that all conditions for conducting inference have

been met, which of the following is a 94.645% confidence

interval for the population mean number of novels read by

all seniors?

Proof -

Given that,

Mean ,x⁻ = 7

Standard deviation, s = 2.29

Size, n = 9

Now,

Degrees of freedom = df

= n - 1

= 9 - 1

= 8

⇒Degrees of freedom = 8

Now,

At 94.645% confidence level

α = 1 - 94.645%

=1 - 0.94645

=0.05355 ≈ 0.05

⇒α = 0.5

Now,

$\frac{\alpha}{2} = \frac{0.05}{2}$

= 0.025

Then,

$t_{\frac{\alpha}{2}, df }$ = 2.306

∴ we get

Population mean = x⁻ ± $t_{\frac{\alpha}{2}, df }$ × $\frac{s}{\sqrt{n} }$

= 7 ± 2.306 × $\frac{2.29}{\sqrt{9} }$

⇒Population mean = 7 ± 2.306 × $\frac{2.29}{\sqrt{9} }$

3 0

4 years ago

Read 2 more answers

At times, latitudes with values higher than ________ degrees can have ~ 24 hours of continuous sunshine.

ryzh [129]

At times, latitudes with values higher than<u> 66.5</u> degrees can have ~ 24 hours of continuous sunshine.

Locations above the Arctic Circle (north of latitude 66.5 degrees, 90 degrees minus the tilt of the Earth's axis) are exposed to 24-hour sunlight. Below the Arctic Circle (latitude 66.5 degrees south), there is 24-hour darkness.

When at the equator, the sun is directly above – at the poles, the sun is on the horizon. However, regardless of the current location (from the pole to the equator), all parallels are bisected, so we have 12 hours a day and 12 hours a night in all locations.

Learn more about latitudes here: brainly.com/question/1939015

#SPJ4

7 0

2 years ago

Find the area for this following problem

Oksana_A [137]

Answer:

11.56 m²

Step-by-step explanation:

3.4×3.4=11.56m²

4 0

4 years ago

Read 2 more answers

Select all the true sentences!!!

iragen [17]

Answer:

the second one and third one

Step-by-step explanation:

6 0

3 years ago

Factorise completely a). 3xy - 9x b). x² - 4 c). 2x² + 5y + 1​

Factorise completely a). 3xy - 9x b). x² - 4 c). 2x² + 5y + 1